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Objective

Objective. 706.2.2 ~ compare and order rational numbers using appropriate inequality symbols. Copy definitions in your journal glossary!. A RATIONAL NUMBER is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator.

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Objective

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  1. Objective • 706.2.2 ~ compare and order rational numbers using appropriate inequality symbols.

  2. Copy definitions in your journal glossary! • A RATIONAL NUMBER is a number that can be written as a fraction with an integer for its numerator and a nonzero integer for its denominator.

  3. “Rational Numbers” Rational Numbers Rational Numbers numbers that can represented as a ratio or fraction Integers Integers -3,-2,-1, 0,1,2,3… Whole Numbers Whole Numbers 0,1,2,3,4,5…

  4. Either: a = b a  >  b a  <  b “Comparison Property” If you are given any two numbers a and b, then there are three possible relationships between them. We are comparing the two numbers, or putting them in order. An inequality is a mathematical sentence using <or> to compare two expressions. Along with =, we can make any sentence true by using the appropriate symbol.

  5. ·In < the left side is smaller than the right side of the symbol, therefore the symbol is representing less than ·In > the left side is bigger than the right side of the symbol, therefore the symbol is representinggreater than ·An inequality is a mathematical sentence using <or> to compare two expressions. Symbol Read as < less than > greater than ≤ less than or equal to ≥ greater than or equal to ≠ not equal to We can use any of the following inequality symbols to compare numbers:

  6. “Comparing Rational Numbers” To compare Rational numbers, you must first make them all into decimals.Then line up the decimal points and compare the digits from left to right until you find the place where the digits are different. Compare the fractions. Write < or >. Compare the fractions. Write < or >. < > 0.81 0.84 0.34 0.342 0.81 0.343 4 is greater than 1, so 0.84 is greater than 0.81 3 is greater than 2, so 0.34 is greater than 0.342 0.84 0.342

  7. Order the Numbers from Least to Greatest 0.7011, 0.7, 0.71, 0.70, 0.7 Place numbers in order from least to greatest Line up numbers by the decimal point Write all decimals in the same place value 0.7011 0.7011 0.7011 0.7 0.7000 0.7 0.71 0.71 0.7100 0.70 0.7070 0.70 0.7 0.7777 0.7

  8. Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 0.2 0.4 0 0.5 0.625 0.67 1 1.5 1.5 In order them from least to greatest.

  9. F D Using a Number Line Plot the numbers on a number line. Then order them from least to greatest. 0.3 0.21 0 0.5 0.6 0.6 0.85 1 1.5 In order them from least to greatest.

  10. Now, let’s practice!

  11. Study Assignment: Textbook page 128 #1-38 Or 706.2.2 Handout

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